0.5(x-2)-(0.3x+0.8)=1.76

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Solution for 0.5(x-2)-(0.3x+0.8)=1.76 equation: 


Simplifying
0.5(x + -2) + -1(0.3x + 0.8) = 1.76

Reorder the terms:
0.5(-2 + x) + -1(0.3x + 0.8) = 1.76
(-2 * 0.5 + x * 0.5) + -1(0.3x + 0.8) = 1.76
(-1 + 0.5x) + -1(0.3x + 0.8) = 1.76

Reorder the terms:
-1 + 0.5x + -1(0.8 + 0.3x) = 1.76
-1 + 0.5x + (0.8 * -1 + 0.3x * -1) = 1.76
-1 + 0.5x + (-0.8 + -0.3x) = 1.76

Reorder the terms:
-1 + -0.8 + 0.5x + -0.3x = 1.76

Combine like terms: -1 + -0.8 = -1.8
-1.8 + 0.5x + -0.3x = 1.76

Combine like terms: 0.5x + -0.3x = 0.2x
-1.8 + 0.2x = 1.76

Solving
-1.8 + 0.2x = 1.76

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.2x = 1.76 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.2x = 1.76 + 1.8
0.2x = 1.76 + 1.8

Combine like terms: 1.76 + 1.8 = 3.56
0.2x = 3.56

Divide each side by '0.2'.
x = 17.8

Simplifying
x = 17.8

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